Difference

Either one is OK. The "best" is an adverb in your context.

paco

No, Paco . In the exam must be is to be remembered best because if I write is to be best remembered I decrease my mark with 0.07 hundred - and it is a mistake -

Could you explain to me what is the difference between the to structure if I admit that both are correct

That sort of stupidity exists in English education in Japan too. If you want to get a higher score in your exam, you'd better say "to be remembered best". But I believe "to be best remembered" is no more incorrect than "to be remembered best". Both mean the same. English is a language relatively tolerant to the position of adverbs.

paco

I decrease my mark with 0.07 hundred

I'm sorry to hear that. Sentences like "Emily Dickinson is best remembered for her fine poetry" are perfectly good, grammatical sentences. Writing the same sentence with "remembered best" is just another way to write it, and it's also correct.

Of course, if the instructions in the exam specified that you should place

From all that I understand from you is that both examples are correct but in my occasion I must use to be remembered best and I wil

So to be best remembered is best unremembered...

MrP